I pasted the reference assignment in question under the questions so you can use those values.

QUESTIONS:

1. Starting with the diameter you chose for the aorta (from Assignment #2), use Murray's law to calculate the diameters of each of the other types of vessels (capillary in structure A; artery, arteriole, and capillary in structure B). Show the math of each calculation (four calculations total). Hint: In both structures, the diameter of a capillary will be one-half of the diameter of the aorta; if you do not get that result, please check your work. 10 points for correctness. 2. Use the volume flow rate you chose for the aorta (from Assignment #2, converted to m3/s), do the calculations of flow rate (in m3/s) in each of the other types of vessels (capillary in structure A; artery, arteriole, and capillary in structure B). Show the math of each calculation (four calculations total). Hint: The flow rate for the capillaries will be the same in structure A as in structure B; if you do not get that result, please check your work. 10 points for correctness.

REFERENCE ASSIGNMENT WITH NEEDED VALUES:

1. 1. For the length of each type of vessel, one possible set of numbers that could be used is: Aorta in Structure A: 10 cm (Source: "Anatomy of the Human Body" by Henry Gray, 1918)
   2. Capillary in Structure A: 0.5 cm (Source: "Anatomy of the Human Body" by Henry Gray, 1918)
   3. Total for Structure A: 10.5 cm
   4. Aorta in Structure B: 12 cm (Source: "Anatomy of the Human Body" by Henry Gray, 1918)
   5. Artery in Structure B: 8 cm (Source: "Anatomy of the Human Body" by Henry Gray, 1918)
   6. Arteriole in Structure B: 0.5 cm (Source: "Anatomy of the Human Body" by Henry Gray, 1918)
   7. Capillary in Structure B: 0.5 cm (Source: "Anatomy of the Human Body" by Henry Gray, 1918)
   8. Total for Structure B: 10.5 cm
   9. For the diameter of the aorta, one possible number that could be used is 2.5 cm (Source: "Anatomy of the Human Body" by Henry Gray, 1918)
   10. For the volume flow rate of the blood in the aorta, one possible number that could be used is 5 L/min (Source: "Anatomy and Physiology" by OpenStax, 2019)

For Structure A:

Aorta: (1050 kg/m^3) * (9.8 m/s^2) * (10 cm) = 1029 Pa

Capillary: (1050 kg/m^3) * (9.8 m/s^2) * (0.5 cm) = 51.450 Pa

For Structure B:

Aorta: (1050 kg/m^3) * (9.8 m/s^2) * (12 cm) = 1234.800 Pa

Artery: (1050 kg/m^3) * (9.8 m/s^2) * (8 cm) = 823.2 Pa

Arteriole: (1050 kg/m^3) * (9.8 m/s^2) * (0.5 cm) = 51.45 Pa

Capillary: (1050 kg/m^3) * (9.8 m/s^2) * (0.5 cm) = 51.45 Pa

To convert each pressure difference to mm Hg, we use the formula:

Pressure Difference (mm Hg) = Pressure Difference (Pa) / 133.322

For Structure A:

Aorta: 1029 Pa / 133.322 = 7.7182 mm Hg

Capillary: 51.450 Pa / 133.322 = 0.38591 mm Hg

For Structure B:

Aorta: 1234.800 Pa / 133.322 = 9.2618 mm Hg

Artery: 823.2 Pa / 133.322 = 6.17452 mm Hg

Arteriole: 51.45 Pa / 133.322 = 0.3859 mm Hg

Capillary: 51.45 Pa / 133.322 = 0.3859 mm Hg